Average Error: 0.4 → 0.4
Time: 566.0ms
Precision: binary64
\[\frac{e^{x}}{1 + e^{x}}\]
↓
\[\frac{e^{x}}{1 + e^{x}}\]
\frac{e^{x}}{1 + e^{x}}
↓
\frac{e^{x}}{1 + e^{x}}
double code(double x) {
	return ((double) (((double) exp(x)) / ((double) (1.0 + ((double) exp(x))))));
}
↓
double code(double x) {
	return ((double) (((double) exp(x)) / ((double) (1.0 + ((double) exp(x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.4

    \[\frac{e^{x}}{1 + e^{x}}\]

  2. Final simplification0.4

    \[\leadsto \frac{e^{x}}{1 + e^{x}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (exp x) (+ 1.0 (exp x)))"
  :precision binary64
  (/ (exp x) (+ 1.0 (exp x))))